Well first off, "both" sexes is not a thing since there are more sexes and genders than two.
Secondly, this will vary depending on many aspects in life. I would say that when I was read as female I had to put up with a lot more sexual harrassment, both physical and verbal. I was even touched inappropriately by a doctor once.
People respect me a lot more the second they hear me open my mouth (or lately, the moment they see me from the front because nowadays I have a beard). Deep voiced men get respected and listened to more, and my statements have hella more impact now than they did when I was a soprano.
Noone thinks i look unkempt if I don't wear makeup or tells me I should smile more etc.
But there's also the flipside. I get stares when I wear short shorts, I get stares for my long hair (just a couple weeks ago I heard a couple kids arguing among themselves whether i was a guy or a girl, and one of them concluded that because I have long hair I had to be a girl), and being a gay man comes with its own set of troubles.
Being stared at is something I can handle no problem tho, I've had to deal with it most of my life because I'm goth.
What is very much an issue though is swimming and dressing rooms. Public toilets are easier since I grew a beard, but dressing rooms are still a problem since I still have slight boobs.
That's worth remembering too. Some people like to think trans people just want to "change gender for convenience" because they don't want the troubles of their current perceived gender. What they forget is being a trans person is not like being a cis person of that same gender. I've been told to get out of the mens changing rooms, even though I always picked private booths within them, because I "gave people weird vibes". That's not an experience your average cis dude would have to deal with.
There's one more aspect in life where things have changed: emotionally. Things are MUCH better since transitioning, and even though I knew I was suffering before I didn't know just how much I was suffering until I wasn't anymore. Going on testosterone was the best choice I ever made.