Learn Hardcore Japanese: tokumeihaisou ha anzenna ippou de, tyakubarai ha takai. - Anonymous delivery is safe, while recipient-paid shipping is expensive.

Breakdown of tokumeihaisou wa anzenna ippou de, chakubarai wa takai.

What do 匿名配送 and 着払い mean in real-life Japanese?

匿名配送 means anonymous shipping/delivery. It is commonly used on Japanese online marketplace apps and services, where the buyer and seller do not directly see each other’s personal information such as full name or address.
着払い means the recipient pays the shipping cost when the package arrives.

A very important point:

着払い is not exactly the same as 代引き.
着払い = the receiver pays the shipping fee
代引き = the receiver pays the item price on delivery (cash on delivery in the usual sense)

So if you learned 着払い as cash on delivery, be careful: that English gloss can be misleading.

What does 一方で mean here?

一方で means something like:

It is used to present a contrast between two statements.

So the structure here is:

This sets up two contrasting points:

It does not have to mean complete opposition. It often just means these are two different contrasting aspects.