KRVS is a great airport to stop at and you'll find plenty of hotels nearby and food & shopping at the nearby Tulsa Hills Shopping Center. (North out the gate to 81st then west 1 mile to Olympia) There are a LOT of students around here so ATC is very patient and accommodating.
If you're not already on flight following contact TUL approach about 20 miles out, tell them you're landing at Riverside, and give them the ATIS code. ATIS will tell you which frequency to contact approach on, but coming from the SW it will likely be 134.7 unless they're not very busy, then it will be 124.0. They'll give you approach instructions and expected runway. (likely "enter midfield right downwind for 19R") They may tell you to proceed north of Sapulpa to enter the downwind so be familiar with where it is on the chart. (SW of Tulsa)
Approach will hand you off to RVS tower 5-10 miles from the field. The tower frequency will be 120.3, not 119.2 like the chart and AFD would lead you to think. 119.2 is only used for the east runway when there are a lot of students in the pattern.
On departure ATIS will tell you whether to contact CD or ground but CD is rarely used. Let ground know your tail number, location on the field and that you want flight following to wherever your next stop is. They'll get you a squawk code and departure frequency pretty quick and tell you to stay at or below 2,500. During the busy times expect departure frequency to be 134.7 and you'll be handed off to 124.0 as you get closer to TUL. During slow times they may give you 124.0 right off the bat.
19R has an obvious runup pad on the left at the end of taxiway A, for 1L just pull off the taxiway to the right onto the ramp area across from the hold short line. If there are others planes in the runup area ground control likes for you to report "N1234, Runup Complete" when you're ready to go so they can sequence you for takeoff, otherwise, just pull up to the hold short line when you're ready. Contact the tower and tell them you're number 1 at 19R or 1L and give them your direction of flight. Expect to get runway heading initially, especially if its busy.
Local noise abatement procedure is no turns until reaching 1,500' unless instructed to turn early. Departing to the NE off of 19R you can expect to be vectored to the east until you cross TUL's approach/departure corridor and then on course. If they're using 1L (unlikely over the next few days) they may have you go west and north of TUL or over the top of it before going on course.
No ramp fees and usually no overnight tie-down fees. Christiansen Jet Center is the bigger full service FBO on the north end of the ramp, Riverside Flight Center is the smaller one near the center of the field. (PM me if you'd like my recommendation) If you have any other questions about RVS or Tulsa let me know.
What time/day will you be coming through?
ETA: Oops, didn't see there were already some good responses from fellow RVS pilots. Just add my input to theirs and have a great flight!