Advice on acquiring a new card

I've been looking at a couple of cards, namely Capital One Quicksilver and Chase Freedom Unlimited, as I want to get a card that does some work for me, my credit union card doesn't offer much in the way of perks. Just want one as a daily use as I work my way up.

Background:

I recently just purchased a new car with a loan from my credit union at the end of Feburary. I have fair credit, 641, have four cards, one with a bank, two are with clothing store (much to my regret) and one is the Amazon prime store.

With the recent car purchase and the few open lines, is now a good time to apply for a card?