Use a stump grinder -- either rent one or hire someone to do it.

How's your back? If the stumps are smaller (roughly 12" or less diameter) and visibly decayed, you could do it manually. A mattock would be a useful tool. I wouldn't tackle this job at my age, but when younger (and poorer) I removed many by hand. Here's my philosophy on stumps:

1. In the woods - leave them
2. In the lawn - grind them
3. In the garden - remove them

Hi Tonya! Also faced a similar problem. After much deliberation, I settled on slow chemical burning. So there is less trouble and fertilizer is obtained for the garden. See more options here: https://www.pest-traps.com/how-to-get-rid-of-tree-stumps. There is also an option to introduce these stumps into landscape design!

Thanks guys! Everything is ok with my back!) Now I have many options - I'll go and think. I'll let you know how I resolve this issue!

What is the age of the stumps? It’s possible they could come right out if old enough with not too much effort

If the stumps are oak trees it could take many, many years to rot without help.

I like Mother Nature’s way best. Like Ken above, I find decomposition fascinating.

Otherwise, grinding it is best. As the remainder of the stump after grinding decomposes in the ground, a low spot will develop, so be orepared to add soil.

I have removed stumps by digging or occasionally by attaching a tow strap to them and yanking them out with a vehicle. Obviously the latter has some risks, so be careful.

I've had two trees removed and let nature take its course. They provide good eating for woodpeckers who help to break down the stump in search of bugs. Another way to break them down, but it takes about a year, is to get the biggest drill bit you can find and drill holes all throughout the top of it, and then pour some of that stump remover liquid in it. You might have to pour the liquid several times. Another way is if there are no other trees around and it is not close to your house, you can either burn them using starter fluid or gasoline (be very careful not to ignite yourself), and I know someone who even dynamited them out of the way. You can also rent a mini-bulldozer and bulldoze them out the way. Finally, you can just plant a creeping juniper right near it and let it grow over it.

I have some stumps. I cut the stumps as low to the ground as possible, and cut deep groves into them. Over time the stump rots out.

When I say as close to the ground as possible. I mean I dug out all around the stump and with the saw in the trench around the stump I cut as low as I could grow. When I was done, I could mow over the stump with out the glade hitting it.

As for burning unless you get it burned completely the charred would will prevent further rot.

If you are up to it, dig deeply around all sides of the stump and then start cutting visible roots, until you can finally get the stump out. Check Youtube for pictures of people pulling stumps with their vehicles before proceeding with that method. From a view, some of them are quite funny.