The Baker Expository Dictionary of Biblical Words

Does anyone own The Baker Expository Dictionary of Biblical Words?

Just recently bought it.

How does it line up to BDAG and LSJ for Greek?

You can't compare it to those (and the preface explicitly states that it can't and doesn't want to replace real, exhaustive lexicons like BDAG). BDAG is the gold standard for a biblical Greek lexicon (LSJ being the lexicon of choice if you were to go for classical Greek). The Baker Dictionary compares to Mounce's Complete Expository Dictionary - very similar organization and content, I think - and the older Vine's Complete Expository Dictionary  

Does it have an entry for the Greek words Love and Logos?

It does have an entry on love, of course. Several pages long, discussing Hebrew (ahab and ahaba) and Greek words (agape/agapao and phileo). Interestingly, there's another entry for Loving-Kindness (Hebrew word hesed).

The entry on logos is contained in the Greek-English lexicon that is contained within the Dictionary, but unfortunately not indexed. It reads

3056 (3364) λόγος logos (n.) word; message; speech, language; matter, thing; statement, report, announcement (330×) | WORD

gives a number of glosses to indicate the semantic range and tells you that logos has the Greek Strongs number 3056, the GK-number 3364, occurs 330 times in the Greek NT and that more info is to be found in the dictionary article "Word" (which is multiple pages long, discussing a number of Hebrew words as well as logos and rhema).

Does it work like a lexicon in Logos?  No, currently it does not, organized by English headwords and lacking an index like Greek Headwords, Strongs or GK, even though all of this information is in the book.