If you spend around $75, you'll get good chain tool. One that you'll have from here on out, not throw thru the window after a couple times.
Mine's a motion pro, love it.
I just use a cut-off wheel to remove the old chain. If you use the rivit tool to punch out the old rivit, be sure to file or grind the rivit head off first! Pretty important.
Use baby steps when pressing the new rivit. You don't want to over-tighten. It'll leave a stiff kink that doesn't want to go straight, that's no good. I always make sure I have 2 or 3 master links when installing a new chain. you don't know how easy it is to overtighten. I've done it and had to start over. Never used the third one, but it's there if needed...