I was planning on applying for the Chase SP in October, but if I apply for the Uber right now, would it make much of a difference in terms of chances for the CSP two months from now? OR should I wait on the Uber and apply after getting the CSP?
No new credit cards in the last 2 years. One auto loan 20 months ago. 793-804 FICOs. 0% utilization. 4yr10mths AAoA.
Mod note: I've updated your subject to reflect your approval; feel free to change/edit if you would like. --UB
If you've been clean for the last two years with apps and with those credit stats it shouldn't matter at all.
Apply for the one you want in the order you want it. Your scores indicate clean reports and neither Chase nor Barclay are going to be spooked by being the issuer of the 2nd of 2 cards issued you within the last 2 years.
Congrats! I'm in a similar position as you (opened Uber last month with same SL). I'm going to double dip CSP/CSR (once i'm 1/24) for the sign-up bonuses. That might be of interest for you as well.