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While I can't say how much your scores will increase by paying down your debt some, you are currently running at 78% utility (you owe 78% of your available credit lines). Not only are you paying interest on that balance each month, but lenders see "subject X" as overextended which is a high-risk red flag. The good news is that Fico scoring has no memory and once you pay your balances down (and your scores increase) that's it, no one will know or care what they "were".
Given that you said you have no lates, no past dues, no collections or other issues, your listed scores are very low even with your short credit history. Fico scores in the 500's are generally found with listed collections, missed payments and bankruptcy filings.
As far as the car loan, do NOT buy any vehicle with a 24% APR loan, or a 17% or a 14% and I would suggest anything over 9% (prime rates are running 2.5% to 3.5% depending on term and amount) "Prime" does not mean you need 760 scores for an auto loan, major credit unions offer prime rates for 700+/-.
I don't know your age, but I suspect its young because of your 1-year credit history and I also don't know your income, however, if you are unable to pay down $7000 in credit card debt - all obtained within the last year - I would suggest that adding a $432.53 a month car payment on top of that might not be the best idea right now. That payment is based on $17,000 for 48 months using a 10% APR.
Ideally, you should NOT carry any credit card debt, meaning you pay off each month what you charge. I also understand that many/most people carry some credit card debt - which is how all those nice lenders make billions of dollars every year. Pay off $5000 of the $7k you owe which will get you in 22%+/- utility area and your scores will increase, it'll be even better if you get under 9% - before you look at adding a $17k car loan. If it takes you a year to do that, you'll gain another year of credit history too.
Good luck!
I just wanted to add that not all lenders use the auto enhanced scores. Search around for what different banks and credit unions pull. Some use FICO8, FICO9, older versions, auto, non-auto.
I'd suggest paying down your credit card debt as much as possible, but not a zero balance, then wait for that small amount to report to the bureaus, see which score is your best score, then find out which bank pulls that score. That's what I just did =)
If you don't have any negatives you "could" potentially see a pretty big increase in scores just by simply paying down your cc debt.
Given your income and the advantage of being able to write off your car expenses against "business income" I would pay off whatever I could on that $7000 and then never carry more than 9% total utility in the future. Carrying high balances includes paying interest to those creditors. I'd use one card exclusively for insurance, gas, upkeep, and including car washes which will document your business expenses - keep a log of your expenses and the card will document the load then pay in full every month.
All you have to do for perfect utility reporting is to allow 1 card to report $10 on your statement, everything else can be paid to zero. Another suggestion is to use one card for business and 1 or 2 for other things, it's easier to track and easier to not overspend.
Since you have the funds, pay everything off now (except for $10 on one account), wait until everything reports and your scores will zoom up. Then apply for a DCU membership and ask if you qualify for a car loan at the same time. If your scores are in the 700 range, which they should be, you'll get a $17k loan at 3% or so (60-month loan $307, 48-month loan $378, 36 months $496). Considering that you'll wear out a car quickly because you drive for a living, I'd consider the 36 or 48-month loan over a longer one.
I'm not sure what your specific uber rules are but you need to have a car that is less than 10 years old or something right?
I know you need a 4 door car but how classy does it NEED to be for uber passengers?
I'm not even sure if the numbers work out to buy a car to drive uber.. What will you really make after you take your expences into consideration such as car maintenance and your auto loan? I'd really crunch those numbers if I was you..
But anyway I think you should probably look at cars like 1 or 2 year old KIAs and the like to get the cheapest car that will serve you the longest, including maintenance costs..