Run OmniDiskSweeper to find your large files. If you still need help deciding what to remove or delete from your drive, it helps to know the size of your drive and current free space.
First step is to empty the trash.
If you don't have an external drive, I highly suggest you buy a drive.
Recommended Drives
USB 3.0 drives work on USB 2.0 but you do get 2.0 speed. They are cheaper because they are popular PC drives. If you get a new computer you'll get the bump to 3.0 speed. I don’t recommend FW. The newer computers don’t have FW ports. You would need a connector in order to use the drive on a newer computer.
USB 3.0 is 10x faster than USB 2.0
Thunderbolt is 12 times faster than FireWire 800 and up to 20 times faster than USB 2.0.
Size: I recommend either the 2T or 3T drives. Often they are cheaper than a 1T drive. The 4T drives have more issues and failure rates. You can partition a large drive.
The Seagate USB 3.0 Backup plus drives come formatted for PC but easy to format in Disk Utility.
This Western Digital drive has good reviews: Has a 2 yr warranty. Comes formatted for Mac but I would still format using Disk Utility.
WD My Book Hard Drive for Mac 2 TB (WDBYCC0020HBK-NESN)
WD My Book Hard Drive for Mac 3 TB (WDBYCC0030HBK-NESN)
Check the warranty when comparing. The longer the warranty the better the drive. WD makes cheaper drives but with almost no warranty.
Locally, Best Buy seems to have the best prices.
You can get one drive for both Time Machine and clone, but it’s recommended that you use different drives for each. If the drive dies you lose both types of backup. Time Machine needs 2X or 3X the amount of space on your drive.