“Is there more than one kind of insulin pump?”

There are different pumps that you could use. I cannot provide names online for copyright purposes. I would recommend you see a diabetic educator to learn about the new pumps and sensors

Yes, half a dozen, at least.

Well you didn't tell me which one you have so it is hard to say or how old your present pump is. All the newer pumps have new thinks that make life easier since they can be connected to self monitoring devices & have things like alarms for low BS, & even automatic stops if BS is low so you can sleep better. There once were 15 or so pumps on the market but there are less now. The largest producers of pumps is Minimed (Medtronic) & they have an upgrade policy that you can upgrade with a trade in, for a reduced price. Their latest is the 670G that has many good features. I have a Tandem. They have 3 pimps to choose from. Their x2 will & t: flex will work with Dexcom sensors & displays the sensors on the screen. The only other pump on the market is the Omnipod. This one is a little different as the whole pump attaches to the skin and is controlled by a hand held device or a smart phone. Kids like these because they are small & have no tubing showing so they can be concealed better that conventional pumps. Go to the internet & you can see advantages & disadvantages to all these pumps. Just type in the names I've given you above & you can get useful information. In the future (probably within the next 1-3 yrs) we'll have closed loop pumps that will do most of the work for you. These pumps will connect to a CGM sensor & adjust the insulin dose for you automaticly. It is good to upgrade to the newer pumps as they have many features the old ones don't have, so look around & check with your insurance co. as to what they will cover. Have fun shopping!