I keep getting spinning wheel when trying to update OS. And it's stuck on "Checking for Updates". Suggestions?

There are factors:

1 - Like poor Wifi connection

2 - Slow wifi connection

3 - Too many other people downloading at the same time and Apple Severs are overloaded

4 - Software on the computer interfering with the download process including AntiVirus Software

Notation: Disabling the AV Software may or may not solve the issue. Removal of the AV Software may increase the chances of the download to perform as expected.

5 - Running behind a VPN which may increase Packet losses or corruption of the download 

6 - If via wifi too many Other devices using the wifi at the same time reducing the Bandwidth to your computer. 

7 - Best Results are via Ethernet Cable to Router

8 - Restart in Safe Mode. This will perform a Disk Repair, clear cache files and only load Apple Software, extensions and fonts. Safe Mode will also eliminate Third Party Software, extensions and drives from loading 

The boot up will be slow and can take some time - Normal and Try Again using the Software Update Applet in System Preferences

Which exact Mac do you have & which OS is it running?