ORIGINAL: hotled

Let me first off say hello as I am a new user to the forum.
I moved to Texas from Indiana (where we don't get to use rifles for deer or anything else).
I am looking into a rifle for deer and boar here in Texas. I have shot many rifles and owned quite a few also since my military days. They have included,Marlin 30-30, Browning A-Bolt 270 , Savage .223, Rem 700 .308, SKS.AR-15.

Now the question, since I have sold all of those when my kids were born many moons ago- I am looking for a nice easy shooting rifle to take any game here in Texas boar/deer/coyote..etc..
Quite frankly the old A-Bolt .270 Hunter was light and pretty much punished my arthritic shoulder. It was good for about 3 shots at the range and I had to set it down- same goes for the 308.
I do not have any experience with the 7mm-08 (factory loads since I do not reload). Is this a viable all around easy shooting rifle? I want comfort but I don't want to be riding the edge of being undergunned.
I have been looking at the Tikka T3 Lite (since it's the only model they make in 7mm-08 I believe), and I have been looking at the Remington SPSDM, and Ruger M77 Mark II All Weather.
Any suggestions or input on this subject would be greatly appreciated.