Power amps don't have volume controls. Neither do phono preamps.
You need an integrated amp with a built in phono preamp. If it doesn't have a built-in phono preamp, you can buy one separately.
Not all integrated amplifiers have a built in phono preamp but, if they specifically say they have a phono input you're PROBABLY good to go. Check carefully before buying.
Of course, if you mention makes and model, we might be able to give a more definitive answer.
At worst, you can buy a standalone phono preamp which will allow any turntable to work with any integtarated amp or receiver.
That's what you probably needed with your last integrated amp.