An Excellent Question. One which everyone who considers Qubes asks.
I write this for anyone, while not knowing their; education, knowledge base, skill level is. So OP, please don’t be offended if I am overly simplistic.
If you needed to use a computer for a secure communication, immediately, right now. Like I wanted to communicate with my divorce attorney before my wife, wants to run all the debt possible for me to pay, and then, she takes the house, kids, dog, cat. (Well, that cat never liked me) I would use Tails OS. Runs a live version of Linux from a USB stick, leaves no trace on the computer it was used. Has excellent documentation on their website, as how to use securely is not just about hardware, but about the mistakes we make.
Do you intend to use Qubes for a big part of your computer life? That is, to me, I would not want to run Qubes with less than 16 GB of RAM. For some users, the frustration of the delay in only having 16 GB of RAM would turn them against using Qubes. Even though Qubes, could have been the answer to their needs.
FYI: The terms core I5, and core I7, are to me, somewhat marketing terminology. What you should be looking at is the generation of the Intel Processor, another way of saying which year the Intel Processor design was released. In each Generation of Intel Processor, there is an Core I5, and a Core I7. Later Generation Processors, are supposedly much faster in use, spins up a Qube faster. Later generation Processors are supposed to run cooler, using less power. Downside. Later generation Intel Processors have a Graphics chip installed which was designed to work with M$ Windows. and I can not comment on whether these Graphics chips work well with all versions of Qubes. If not now, it will. Qubes Developers are, in the months ahead, about to release a newer version of Qubes OS.
Because of my extreme poverty, I, like corny, have T-480, which is an 8th generation processor. Advantages, it just plain works with Qubes. Well, pretty easily. T-480 can have the RAM upgraded to 64 GB. Two years ago I bought a renewed, T-480, with a best screen available, Core I5, 16 GB RAM from Amazon for just over USD $200.00. Then I bought 64 GB of RAM for USD $150.00.
Screens can not be upgraded. Two: Beware, in different parts of the world, the T480 comes with other types of internal hardware. The T480s (notice the s) is limited to 48 GB of RAM. I have never seen one.
T-480 Downsides. 8th Generation Processors no longer receive Intel Microcode Security Updates.
In my opinion, even choosing the highest quality screen available in a T-480, it is not as nice as some other laptops, but adequate for my use. I would not want to watch movies on it. But I could plug a good screen, and I would watch movies on that.
If it was a laptop I took to my office, I think, that if my boss was leaning over my shoulder and saw how long it took to spin up a Qube. He would quickly say, get rid of Qubes, I can’t have you spending that much of your time waiting on this thing to -what start a Qube. I am paying you to work.
Some who have problems starting and using Qubes have issues with Graphics.
As for the models you are looking at. The “Hardware Compatibility List,” HCL, usually has notes as to how to get around any issues. Hardware compatibility list (HCL) | Qubes OS
Be Nice if you advised us to how things worked for you. Might save someone else some worry.