Don't make me choose....

My Ruger Mark II .22lr is probably my most prized firearm. I could part with almost any other weapon I own, but not that one. I've taken coyotes with it, rabbits, and hundreds of coons.

On the other hand, I'd be hard pressed to give up my M-4 style AR-15 .223rem. Absolutely my right hand for coyotes.

So personally, I'd recommend you ultimately purchase both. The order is less important than getting both "eventually". Personally, I'd get the .22lr pistol first, but I'd get the .223rem eventually.

But if you're more of a rifle shooter and have more opportunity to call coyotes than you'd have to plink with a .22lr, then obviously the .223rem makes more sense. You CAN call coyotes with a .22lr pistol (contrary to what 90% of the guys on here will tell you), but it's a very specialized hunting style and requires a highly skilled handgunner, a talented caller, an ideal close range calling set up, and a lot of luck.