I have had two MF CG 2300's for over 23 years and they both still run great...and are very similar to the picture BK posted, just older.
We have a lot of implements for them, including mower decks, PTO powered rotor-tiller, a front end loader, harrows, aerator, sprayer attachments, etc.
I don't mow with them all that much since I have a zero turn Kubota and a smaller Kubota tractor I like quite a bit.
For excavations, I borrow a small one from my neighbor...there are a number of folks in my area that are in the equipment, "circle of trust".
For property management, I think a smaller compact diesel tractor would be more efficient and versatile than a small excavator. If my neighbor didn't own an excavator, I would get one for the small tractors that fits on back and is PTO powered.
Frankly, the PTO powered rotor-tiller was a complete game changer for us...and my neighbors
All that said, my advice would be to rent a small excavator and see how you like it...it takes some practice. I'd then visit the local tractor place (any make) an get a few minutes on a small compact tractor.
I don't like to rent equipment unless absolutely no other option exists...I invariably get in a time crunch or the weather is bad, etc.
Whatever you decide, if you buy you'll need all the support gear for transportation and maintenance.
Edit: I saw Cabs post after I posted mine. They are very popular here and have many attachment options.
Enjoy!