A well tuned and good shooting Ultra varmint in 22-250 is a good choice for what you want.
If your the kind of guy who can change his oil in his cars and fixed things around the house and yard you will be fine tuning up handis. Its not hard its is just uncharted waters. Go grab a coffee and do some surfing around here. MUCH to read here. LOTS of great guys willing and able to lend a hand with good advice and personal experiences to help you. The FAQ's are chocked full of great and useful information easily searched right at your finger tips.
Basically, start with thorough cleaning of the barrel. Then remove the factory base, degrease the holes and screws. Apply thread locker on the screws and re install the base. Choose a good ring and a new quality or known good scope. Remove the forend and barrel. Clean the shelf of the barrel and with a Qtip and solvent clean the under side of the latch. Re install the barrel. Get a O Ring or two and put it in the stud for the forend, install the forend. You should now have clearance between the barrel and the wood of the forend.
At the range, choose a good solid bench and a couple sand bags. Place the bags under the "hinge" of the receiver. Load the gun, and close it with a solid snap. Done be ginger with it, stoutly close it. This is especially important when new as many parts need to be "worked in". When firing, pull the trigger fully and completely to the rear. Don't worry about groups until you get a couple boxes threw the barrel.
Much has been written here about barrel break in. Most think its not necessary, yet many of these same say polishing the barrel is useful. Proper break in will take care of the polishing. Just don't be concerned about groups until you shoot it some. Polishing is just a bit faster, but IMHO not as good as done incorrectly, you can ruin a barrel. not really form the polishing, but from the cleaning rod. Believe me when I tell you more good barrels are ruined by cleaning rods then most any other single item. Cleaning the barrels is also a hot topic. I like them clean, but do admit most barrels shoot better after a number of fouling shots. In my mind that's not a dirty barrel, its a fouled barrel. It will be cleaned after every range session.
Hand loading is a great hobby. its a way to really squeak out every last be of available accuracy from about any firearm. Many knowledgeable guys here for that as well. My advice...READ READ READ, then ask your questions. There is NO, STUPID questions.
Good luck,
CW
