I can only give advise on walmart. I would try for an increase every 4 mos. Ive heard of victoria secret but ive never heard of the others you mentioned cant help you there.
Old Navy issued my DF their Visa and have Auto-CLI'd her from $700 to $5k in under 1 year, if I recall correctly.
Does west elm typically give high limits? My score is not horrible or great, I have a 668 Fico. I was a little surprised when I just apped for a west elm store card and got a 4k limit. I actually wondered if it was a mistake? I have other cards w comenity no where near 4k: VS 1300, express 1k, and last week a z gallerie w a 1500 limit. My other question, I apped for walmart and target and was approved for 900 and 200, at what point can I try cli? I know walmart is good with increases, I'm just not sure how long before I can request. Thanks in advance.
My guess is that West Elm limit is combination of 2 things. West Elm sells furniture and household items so they want you to have limits to purchase these types of items and you have established good credit history with Comenity.