I'll just echo this
@Livelovedance . If you have good income and good credit you should get a CL in line roughly with some of your highest CL's. I don't think they're overly generous but for me they gave in my higher ranges for this last card. I found with them they don't volunteer CL increases. Every limit increase I got I had to ask for, but it's easy to do once you have some history with them. Also since you'll have a specific purchase, you could call to ask for a temporary (or permanent) increase for that purchase if you're close.
Should be fine with Discover. If you do both on the same day the only thing changes on your report is an inquiry. And depending on where you are they are probably pulling from different reports. It'll just effect you later with Chase as they'll both now be counted in your 5/24 count once they show up on your CR. 3rd card may depend on the card issuer, some are inquiry sensitive and not just account sensitive. Have to think about what that card may be and do some research for backup plans. But most likely you'll be ok with it. Someone on Reddit got 5 or 6 cards applied for on the same day recently, so it still happens. Your score may take a little dip from the inquires but that would bounce back, what will probably affect it more is your utilization ratio once you make the purchases and carry the balance.