No HDMI port on my PC.

Yes, there are adapters. What outputs do you have on your PC?

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....................Why make it simple when you can make it complicated?....................
....................................A thank you is never too much ;)....................................

Yes, but the simplest option is still a DVI male to HDMI female adapter ;)

Let's say that both adapters are possible, it depends on where you plug it in, based on the cables you already have:
if you already have a male-to-male HDMI cable, you need to buy the second adapter and plug it into the PC;
if you already have a male-to-male DVI cable, you need to buy the first adapter and plug it into the TV
For your question about VGA to HDMI, there's no simple solution, you can read:
https://forums.commentcamarche.net/forum/affich-2495409-connexion-pc-vga-ecran-hdmi

yes, if it is DVI-I or D, because a digital output is mandatory, HDMI being a completely digital standard, there are no solutions with analog (DVI-A or VGA)

In that case, why are they releasing VGA => HDMI adapters?

Hello,
the HDMI standard is fully digital, so you need a DVI-D or I output
(not A) on your PC, with a DVI-D to HDMI adapter, like this one:
https://www.ldlc.com/fiche/PB00034665.html?ao=15
but if you only have a VGA (analog) output, I don't see a simple solution.

There is no simple VGA->HDMI adapter, you need an analog-to-digital converter
read pristavni's response in the cited topic message 6 for more explanations
open a topic on the subject if you want
@+