way to provide heat/warmth to the bottom of clear cups/pots for rooting cuttings? At this point
I believe I need something, although the room temperature stays above 70 degrees. I have about
60 individual cuttings in 32 oz cups that I would like to warm their bottoms up some.

Why do you think you need more heat?  A room temperature of 70+ should be fine.  I have my cuttings in a spare bedroom and currently have 28 different varieties rooting thanks to a generous forum:)  At the 3 week mark roots started popping and cuttings of almost all of the varieties have produced roots. Tomorrow will be 4 weeks.  The spare room temp is about 75 days and falls to around 68 nights.  

I agree.  Room temperature should be fine.   (Assuming of course...you don't live in an igloo). 

70 degrees is good.

Dave, maybe you were right. Patience !!!!!

Willis, thanks for your input.

This is my first time rooting fig cuttings so I looked at the cuttings every couple of days and nothing.  Three weeks to the day I saw the first root and after that it was just like popping pop corn.....from no roots to now having 30+ cupped up.  After cupping all that had roots I waited 2 days and looked again and there was another dozen+ that need cupped today.  I did start to get some mold on some cuttings starting at 2 weeks but was nothing terribly serious on most of them.  Now quite a few of the cuttings that rooted forst are starting to break buds.  Just love plants that grow fast.  

Willis, my JH Adriatic rooted really fast but all the others are dragging and I do have a little harry mold on three different cuttings which I am addressing.

Do you have moisture visible inside your clear cups? If so, how much? My soil is barley damp and I have about 8-10 holes in the top and bottom cups.
I have a cup inverted on each to form the mini green house.

New,

Wills......not Willis lol.  Short for William:)  

Heh my Jh Adriatic was first as well, it must be a very robust variety.  All I have done to address the mold was wipe it off with my fingers and remove any mushy dead stuff that forms.  I did post a thread just now on the cups and the project in general.   My cups are 32 oz clear drinking glasses from Walmart.  I ran them through the bandsaw and cut them in half and then taped them back together.  I used a soldering iron to make the bottom holes and small holes up the sides. The top cups are 20 oz drinking cups they fit perfectly together.  My soil is barely damp and I get a bit of condensation on the cups but just on the side that faces the window I assume is due to the temperature differential.  Once they start to grow I will wick them and place them on a reservoir. 

I have used a simple method to create a small controlled environment.

Material:
1. Small shelf unit (under $20.00).
2. Small inexpensive electric personal space heater with built-in fan and temperature adjustment, warmer/cooler (under $20.00).
3. Sheet of plastic <or shower curtain> to cover shelf unit (clear plastic for sunlight next to a window).
4. Inexpensive outdoor thermometer.
5. Clips to secure plastic.
  
Assembly:
a. Place heater on bottom shelf <with a basin with water for added humidity if needed>.
b. Place thermometer on top shelf visible from room.
c. Drape plastic over shelf unit and secure plastic from flapping. Keep the plastic about 1 inch off the floor for air circulation.
d. Adjust heater warmer/cooler adjustment to maintain 75 Deg F in "greenhouse" at thermometer on top shelf.
e. Load shelves with plants.

This " greenhouse" and humidity domes are only required for the initial rooting and leaf out stage (4-6 weeks). The fan also provides air circulation and humidity control.

<edit> added pictures

Pete, that is pretty much what I have. Just added the space heater/fan.

Thanks Wills not Willis LOL. My fingers get going to fast for my mind now days.

Exciting, fun, frustrating, and worrisome all at once, no? I just love rooting cuttings.