I followed the instructions you cited above in your first link.
I understand, but the problems you experienced with that method are the reason I advocate using Disk Utility's Restore function in lieu of Apple's method for copying Time Machine backups. Although Apple's method will work for all Time Machine backup devices, you are using directly connected hard disk drives. Using Restore will be simpler, easier, and faster.
Having said that... if Disk Utility is "freezing" or your cursor turns into the spinning rainbow "wait cursor" it usually indicates Disk Utility is having difficulty reading data from one of its mounted volumes. That implies disk corruption, which can't be fixed. In that case your first order of business should be to create at least one more Time Machine backup in addition to the one you are attempting to copy.
For the time being that additional Time Machine backup can be the new, larger drive you purchased. The older one may have suffered corruption, meaning its contents may no longer be reliable.
Since I upgraded to Mojave, my Mac (late 2012 27" iMac) is slower and is giving me a lot of headaches.
That's a separate question, but the first step in diagnosing it is to determine if the same problems occur in "Safe Mode": Use safe mode to isolate issues with your Mac. Start your Mac in Safe Mode, observe its operation for a little while, and then restart your Mac normally. Describe the differences you observe.
For the purposes of that test please disconnect the Time Machine disk.