Re: New Rem 700
The first thing I would do is adjust the trigger down to 3lbs or below. If you can't do that then have a gunsmith do it. You could always buy an aftermarket trigger (Timey, Jewell, SharpShooters) and install it. They're usually pretty simple and come with instructions.
Then, when I was putting the barreled/action back in the stock, I would ensure it is seating properly and make sure the bedding is good. If not, get it bedded or get a different stock. I'm not familiar with the SPS stock, but I'm thinking it's the cheapo plastic tupperware type.
Get the best glass you can afford. I usually try to put as much in the scope as I do the rifle. I'm not always able right away and suffer till I can get what I want. Get sturdy, well made rings/mounts. Not necessary to get the "Tactical Nuclear Holocaust MilSpec proof" but something name brand that has been around a while (Leupold, Weaver, Burris).
Next, if you're not a reloader, I would consider starting. If you plan on doing alot of shooting, it makes it affordable. The more you shoot the more you'll reload. The more you reload the more you'll shoot. You will become intimately proficient with your rifle and find out what it can and can't do.
Look up info on breaking-in a barrel. Some follow it religiously and some say it's hoopla. I won't take sides, but do believe that some factory barrels are better than others and require more attention/cleaning than others. There's no set number of shot's but some rifles don't reach their accuracy potential until after quiet a few. JohnnyK.