a bit of (something)

"A bit" means the same thing as "a little". It's just a bit more formal.

It's a bit cold out.

"A bit of" something means "some":

I had a bit of money after selling my company, so I invested it in stocks.

(something) has been (doing something) lately

Use this phrase to talk about events that started a few weeks or months ago, and have continued or repeated until now. For example:

I've been eating a lot of junk food lately.

What have you been doing lately?

There's a little confusion about the difference between "recently" and "lately". "Lately" is more appropriate for continuing situations, while "recently" is better for events that happened just once, a couple of times, or that have continued but are finished now:

Have you been going to the gym a lot lately? You look great!

I ran into Stacy recently at the Food Emporium.

get media attention

Magazines, tv, radio, and the newspaper are all examples of the “media”. If a person or group are featured on one of these, you can say they are “getting media attention".

He got a lot of media attention with the corruption scandal.

His app has been getting a lot of media attention lately, like on a few different websites.

Note that “media attention” generally isn’t used for social media, but can be used for online newspaper and magazine articles.